Probability Questions?

Please help me. i just can't understand our lessons and now i need to answer this questions. and to review it too.



1. The Probability that a vehicle entering the lu-ray caverns has canadian license plates is 0.12; the probability that it is a camper is 0.28; and the probability that it is a camper with canadian license plates is 0.09. what is the probability that

(a) a camper entering the Luray Caverns has canadian license plates?

(b) a vehicle with canadian license plates entering the Luray Caverns is a camper?

(c) a vehicle entering the Luray Caverns does not have Canadian plates or is not a camper?



2. The probability that an automobile being filled with gasoline will also need an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both oil and filter need changing is 0.14

(a) If the oil had to be changed, what is the probability that a new oil filter is needed?

(b) If a new oil filter is needed, what is the probability that the oil has to be changed?



3. A manufacturer of a flu vaccine is concerned about the quality of its flu serum. Batches of serum are processed by three different department s having rejection rates of 0.10, 0.08 and 0.12, respectively. The inspectious by the three department s are sequential and independent.

(a) What is the probability that a batch of serum survives the first departmental inspection but is rejected by the second department?

(b) what is the probability that a batch of serum is rejected by the third department?



4. In the senior year of a high school graduating class of 100 students, 42 studied math, 68 studied psychology, 54 studied history, 22 studied both math and history, 25 studied both math and psychology, 7 studied history but neither math nor psychology , 10 studied all three subjects, and 8 did not take any of the three. If a student is selected at random, find the probability that

(a) a person enrolled in psychology takes all three subjects

(b) a person not taking psychology is taking both history and math.



5. A manufacturer of a flu vaccine of a flu vaccine is concerned about the quality of its flu serum. Batches of serum are processed by three different departments having rejection rates of 0.10, 0.08, and 0.12, respectively. The inspections by the three departments are sequential and independent.

(a) What is the probability that a batch of serum survives the first departmental inspection but is rejected bu the second department?

(b) What is the probability that a batch of serum is rejected by the third department?



Please help me regarding this questions. please kindly indicate the formula and the solution. you man also put the reason what that's been the answer. I will be mt honor to those you will help me. thanks a lot. have a nice day!Probability Questions?
Conditional Probability

1. The Probability that a vehicle entering the lu-ray caverns has canadian license plates is 0.12; the probability that it is a camper is 0.28; and the probability that it is a camper with canadian license plates is 0.09. what is the probability that

(a) a camper entering the Luray Caverns has canadian license plates?



plates |Canada | non-Canada | Total

----------------|-----------|---------鈥?br>
| .12 | .88 | 1.00 (100%)

----------------|-----------|---------鈥?br>
Camper | .09 | ,19 | .28

----------------|-----------|---------鈥?br>
non- | | |

Camper | .03 | .69 | .72

----------------|-----------|---------鈥?br>
all Vechile | .12 | .88 | .100 (100%)